Aim To study the multi-attribute group decisionmaking problem that the decision-making information takes the form of interval numbers.Methods The continuous ordered weighted geometric averaging(C-OWGA) operator is extended to accommodate uncertain environment.Some new operators for aggregating uncertain information in the form of interval numbers,such as the weighted C-OWGA(WC-OWGA) operator,the ordered weighted C-OWGA(OWC-OWGA) operator and the hybrid C-OWGA(HC-OWGA) operator,etc,are presented.Results With the operational laws of interval numbers,the decision-making information is aggregated to obtain the priorities on alternatives by using HC-OWGA operator A novel method based on the HC-OWGA operator for uncertain multi-attribute group decision-making problem is proposed.Conclusion A practical example is given to show the feasibility and availability of the developed method.